SELF-SIMILAR SETS .5. INTEGER MATRICES AND FRACTAL TILINGS OF RN

被引：147

作者：

BANDT, C

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 112卷 / 02期

关键词：

D O I：

10.2307/2048752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Tilings with self-similar tiles and "just-touching fractals" are constructed from matrices of integers, extending work by Levy, Mandelbrot, Dekking, Bedford, and others.

引用

页码：549 / 562

页数：14

共 21 条

[1] SELF-SIMILAR SETS .3. CONSTRUCTIONS WITH SOFIC SYSTEMS [J].

BANDT, C .

MONATSHEFTE FUR MATHEMATIK, 1989, 108 (2-3) :89-102

[2] SELF-SIMILAR SETS .1. TOPOLOGICAL MARKOV-CHAINS AND MIXED SELF-SIMILAR SETS [J].

BANDT, C .

MATHEMATISCHE NACHRICHTEN, 1989, 142 :107-123

[3] BROWNIAN-MOTION ON THE SIERPINSKI GASKET [J].

BARLOW, MT ;

PERKINS, EA .

PROBABILITY THEORY AND RELATED FIELDS, 1988, 79 (04) :543-623

[4]

Barnsley MF., 2014, FRACTALS EVERYWHERE

[5] GENERATING SPECIAL MARKOV PARTITIONS FOR HYPERBOLIC TORAL AUTOMORPHISMS USING FRACTALS [J].

BEDFORD, T .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1986, 6 :325-333

[6] RECURRENT SETS [J].

DEKKING, FM .

ADVANCES IN MATHEMATICS, 1982, 44 (01) :78-104

[7] THE HAUSDORFF DIMENSION OF SOME FRACTALS AND ATTRACTORS OF OVERLAPPING CONSTRUCTION [J].

FALCONER, KJ .

JOURNAL OF STATISTICAL PHYSICS, 1987, 47 (1-2) :123-132

[8] THE FRACTAL DIMENSION OF SETS DERIVED FROM COMPLEX BASES [J].

GILBERT, WJ .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1986, 29 (04) :495-500

[9] RADIX REPRESENTATIONS OF QUADRATIC FIELDS [J].

GILBERT, WJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 83 (01) :264-274

[10] CONSTRUCTION OF REPLICATING SUPERFIGURES [J].

GILES, J .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1979, 26 (03) :328-334

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